2. For the function f (x)=-457-1, find the inverse function. (1 point)
1 answer:
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Answer:
Step-by-step explanation:
Slope intercept form: when
is the slope of the line and
is the y-intercept (the y-coordinate of the point the line crosses the y-axis)
<u>1) Find the slope (</u><u>)</u>
when the points are
and
We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):
Simplify the fraction
So far, our equation looks like this:
<u>2) Find the y-intercept (</u><u>)</u>
The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.
Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, .
Now, this is our final equation after plugging in and
:
I hope this helps!
There are three things you have to know:
- A function is convex when its second derivative
- A function is concave when it second derivative
- The derivative of a power,
, is
So, the first derivative is
and the second derivative is
This implies that the second derivative of a parabola is constant, and of course that 2 doesn't change the sign of .